Question

Anthony drove 140 miles in 2 1/2 hours. He then drove the next 3 1/4 hours at a rate that was 6 miles per hour slower than his first rate. How many miles did Anthony drive in all?

Answer 1

302.5 miles

Explanation:

using the relationship

D = ST ( D is distance, S is speed and T is time in hours )

given he drove 140 miles in 2
`(1)/(2)` = 2.5 hours , then

S =
`(D)/(T)` =
`(140)/(2.5)` = 56 mph

the next part of his journe is 6mph slower, that is 50 mph for 3
`(1)/(4)` = 3.25 hours, then

D = ST = 50 × 3.25 = 162.5 miles

total distance travelled = 140 + 162.5 = 302.5 miles